0.9x^2=5x^2-3.8

Solution for 0.9x^2=5x^2-3.8 equation:

0.9x^2=5x^2-3.8

We move all terms to the left:

0.9x^2-(5x^2-3.8)=0

We get rid of parentheses

0.9x^2-5x^2+3.8=0

We add all the numbers together, and all the variables

-4.1x^2+3.8=0

a = -4.1; b = 0; c = +3.8;
Δ = b2-4ac
Δ = 02-4·(-4.1)·3.8
Δ = 62.32
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{62.32}}{2*-4.1}=\frac{0-\sqrt{62.32}}{-8.2}
=-\frac{\sqrt{}}{-8.2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{62.32}}{2*-4.1}=\frac{0+\sqrt{62.32}}{-8.2}
=\frac{\sqrt{}}{-8.2}
$